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av_fq_isog • Show schema
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{'abvar_count': 589, 'abvar_counts': [589, 262105, 152361931, 78423126525, 41453483855344, 21912692154610345, 11592428641981587751, 6132586014128605317525, 3244147422026905366972969, 1716156532548867754615072000], 'abvar_counts_str': '589 262105 152361931 78423126525 41453483855344 21912692154610345 11592428641981587751 6132586014128605317525 3244147422026905366972969 1716156532548867754615072000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.270744379229922, 0.924942204553358], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 27, 'curve_counts': [27, 495, 12519, 280243, 6440532, 148022835, 3404705709, 78310673683, 1801150724997, 41426528140350], 'curve_counts_str': '27 495 12519 280243 6440532 148022835 3404705709 78310673683 1801150724997 41426528140350 ', 'curves': ['y^2=3*x^6+5*x^5+2*x^4+18*x^3+3*x^2+7*x+4', 'y^2=x^6+14*x^5+20*x^4+18*x^3+9*x+21', 'y^2=2*x^6+x^5+7*x^4+15*x^3+13*x^2+20*x+4', 'y^2=3*x^6+12*x^5+5*x^4+14*x^3+7*x^2+7*x+5', 'y^2=8*x^6+6*x^5+18*x^4+9*x^3+12*x^2+3*x+12', 'y^2=18*x^6+5*x^5+11*x^4+18*x^3+8*x^2+9*x+4', 'y^2=x^6+5*x^5+10*x^4+x^3+x^2+9*x+4', 'y^2=13*x^6+21*x^5+15*x^4+8*x^3+8*x^2+7*x+4', 'y^2=5*x^6+10*x^5+20*x^4+22*x^3+15*x^2+4*x+9', 'y^2=6*x^5+20*x^4+11*x^3+7*x^2+16*x+13', 'y^2=8*x^6+16*x^5+8*x^4+21*x^3+19*x^2+12*x+4', 'y^2=13*x^6+5*x^5+19*x^4+10*x^3+4*x^2+2', 'y^2=13*x^6+12*x^5+x^4+7*x^3+10*x^2+14*x+21', 'y^2=17*x^6+9*x^5+21*x^4+6*x^3+6*x^2+8*x'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.6525.1'], 'geometric_splitting_field': '4.0.6525.1', 'geometric_splitting_polynomials': [[19, -2, 8, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.23.d_an', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.6525.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 3, -13, 69, 529], 'poly_str': '1 3 -13 69 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 3, -59], 'simple_distinct': ['2.23.d_an'], 'simple_factors': ['2.23.d_anA'], 'simple_multiplicities': [1], 'singular_primes': ['7,9*F^2+3*F+28*V+60'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.6525.1', 'splitting_polynomials': [[19, -2, 8, -1, 1]], 'twist_count': 2, 'twists': [['2.23.ad_an', '2.529.abj_bfh', 2]], 'weak_equivalence_count': 2, 'zfv_index': 49, 'zfv_index_factorization': [[7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 7, 'zfv_plus_index_factorization': [[7, 1]], 'zfv_plus_norm': 261, 'zfv_singular_count': 2, 'zfv_singular_primes': ['7,9*F^2+3*F+28*V+60']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.23.d_an', 'extension_degree': 1, 'extension_label': '2.23.d_an', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.6525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.d_an', 'galois_group': '4T3', 'places': [['10', '14', '0', '3'], ['14', '22', '0', '21']]}
